Multiple choice

Two vessels A and B contain milk and water mixed in the ratios 3 : 2 and 7 : 1, respectively. Find the ratio in which these mixtures are to be mixed to get a new mixture containing milk and water in the ratio 4 : 1.

  1. 3 : 8

  2. 8 : 3

  3. 3 : 5

  4. 5 : 3

  5. None of these
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A Correct answer
Explanation

Using alligation: Vessel A (3/5 milk), Vessel B (7/8 milk), Target (4/5 milk). (7/8 - 4/5) : (4/5 - 3/5) = (35-32)/40 : 1/5 = 3/40 : 8/40 = 3 : 8.

AI explanation

Using the alligation method on the fraction of milk in each mixture, vessel A has 3/5 milk and vessel B has 7/8 milk, while the target mixture has 4/5 milk. The ratio of A to B is the difference between the target and B placed over the difference between A and the target: (7/8 - 4/5) divided by (4/5 - 3/5). This simplifies to (3/40) divided by (1/5), which equals 3/8. The mixtures should be combined in a 3 to 8 ratio.

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